On the approaches to threshold resummation of rapidity distributions for the Drell-Yan process

Abstract

We consider threshold resummation of rapidity distributions, for which various approaches exist in the literature. Recently, a work by Lustermans, Michel, Tackmann suggested that older approaches by Becher, Neubert, Xu (BNX) and Bonvini, Forte, Ridolfi (BFR) were wrong because they miss some leading-power contributions at threshold. In this work, we prove and demonstrate that the BNX and BFR approaches are correct and able to resum threshold logarithms to leading-power accuracy. We then show that the BNX and BFR approaches can provide rather good alternatives to more modern approaches to threshold resummation of rapidity distributions, provided the threshold logarithms are resummed according to the $\psi$-soft definition introduced in the context of Higgs production.

arXiv comment41 pages, 10 figures. Various differences and additions wrt v1. Final EPJC version

References in corpus (55)

• High-precision QCD at hadron colliders: electroweak gauge boson rapidity distributions at NNLO
• Soft-gluon resummation for Higgs boson production at hadron colliders
• The Resummation of Soft Gluon in Hadronic Collisions
• NLL resummation of the heavy-quark hadroproduction cross-section
• Soft Gluon Radiation in Higgs Boson Production at the LHC
• Harmonic Sums and Mellin Transforms up to two-loop Order
• Dilepton rapidity distribution in the Drell-Yan process at NNLO in QCD
• Higher-Order Soft Corrections to Lepton Pair and Higgs Boson Production
• Sudakov Factorization and Resummation
• Dynamical Threshold Enhancement and Resummation in Drell-Yan Production
• Higgs production in hadron collisions: soft and virtual QCD corrections at NNLO
• Higgs Production with a Central Jet Veto at NNLL+NNLO
• Threshold Resummation in Momentum Space from Effective Field Theory
• The PDF4LHC21 combination of global PDF fits for the LHC Run III
• Higgs production in gluon fusion beyond NNLO
• The Drell-Yan cross section to third order in the strong coupling constant
• Threshold resummation for electroweak annihilation from DIS data
• Higher-Order Corrections in Threshold Resummation
• Origin of the Large Perturbative Corrections to Higgs Production at Hadron Colliders
• Threshold resummation at N${}^3$LL accuracy and soft-virtual cross sections at N${}^3$LO
• Resummed Higgs cross section at N${}^3$LL
• Approximate N^3LO Higgs-boson production cross section using physical-kernel constraints
• Charged Current Drell-Yan Production at N3LO
• Renormalization group approach to soft gluon resummation
• Leading-logarithmic threshold resummation of the Drell-Yan process at next-to-leading power
• Lepton-pair production at hadron colliders at N${}^3$LO in QCD
• Di-lepton Rapidity Distribution in Drell-Yan Production to Third Order in QCD
• On the Higgs cross section at N${}^3$LO+N${}^3$LL and its uncertainty
• Signal-background interference effects for $gg\to H\to W^{+}{W}^{-}$ beyond leading order
• QCD threshold corrections to di-lepton and Higgs rapidity distributions beyond N${}^2$LO
• Parton distributions with threshold resummation
• Soft gluon resummation of Drell-Yan rapidity distributions: theory and phenomenology
• Leading-logarithmic threshold resummation of Higgs production in gluon fusion at next-to-leading power
• Threshold Resummation for W-Boson Production at RHIC
• Resummation prescriptions and ambiguities in SCET vs. direct QCD: Higgs production as a case study
• Threshold resummation of Drell-Yan rapidity distributions
• Threshold corrections to rapidity distributions of Z and W^\pm bosons beyond N^2 LO at hadron colliders
• Threshold resummation of the rapidity distribution for Drell-Yan production at NNLO+NNLL
• An Enhanced Threshold Resummation Formalism for Lepton Pair Production and Its Effects in the Determination of Parton Distribution Functions
• Small-$x$ phenomenology at the LHC and beyond: HELL 3.0 and the case of the Higgs cross section
• On next to soft corrections to Drell-Yan and Higgs Boson productions
• The three loop soft function for N${}^3$LL${}^{\prime }$ gluon fusion Higgs production in SCET
• Next-to-soft corrections for Drell-Yan and Higgs boson rapidity distributions beyond N${}^3$LO
• The threshold region for Higgs production in gluon fusion
• Threshold resummation of the rapidity distribution for Higgs production at NNLO+NNLL
• On next to soft threshold corrections to DIS and SIA processes
• Next-to SV resummed Drell-Yan cross section beyond leading-logarithm
• Rapidity distribution at soft-virtual and beyond for n-colorless particles to N${}^4$LO in QCD
• Resummed Higgs boson cross section at next-to SV to $\mathrm{NNLO}+\overline{\mathrm{NNLL}}$
• Going beyond Soft plus Virtual
• Next to SV resummed prediction for pseudoscalar Higgs boson production at NNLO$+\overline{\text{NNLL}}$
• Resummed next-to-soft corrections to rapidity distribution of Higgs Boson to $\text{NNLO}+\overline{\text{NNLL}}$
• Next-to-soft-virtual resummed rapidity distribution for Drell-Yan process to $\text{NNLO}+\overline{\text{NNLL}}$
• Signal-background interference effects in Higgs-mediated diphoton production beyond NLO
• Resummation for rapidity distributions in top-quark pair production

Cited by in corpus (5)

• Third order QCD predictions for fiducial W-boson production
• High-energy QCD dynamics from bottom flavor fragmentation at the Hi-Lumi LHC
• Bottomoniumlike states in proton collisions: Fragmentation and resummation
• Pseudoscalar heavy-quarkonium hadroproduction from nonrelativistic fragmentation at NLL/NLO${}^{+}$
• Higgs boson rapidity distribution in bottom annihilation at NNLL and beyond